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Numerical exploration of MHD unsteady flow of THNF passing through a moving cylinder with Soret and Dufour effects

Partha Protim Gharami, Abdulla-Al-Mamun, Md. Alamin Gazi, Samsun Nahar Ananna, Sarder Firoz Ahmmed

2022Partial Differential Equations in Applied Mathematics20 citationsDOIOpen Access PDF

Abstract

This experiment has studied the exploration of tangent hyperbolic nanofluid (THNF) unsteady magneto-hydrodynamic (MHD) flow with Dufour and Soret effects. The governing partial differential equations (PDE) in terms of continuity, temperature, concentration, and momentum are reformed into ordinary differential equation (ODE) form and then explained numerically by employing the explicit finite difference (EFDM) technique using Fortran programming with the help of Compaq Visual Fortran 6.6a. The behavior of the engaged physical constraints (Weissenberg number, chemical reaction parameter, Lewis number, Eckert number, Prandtl number, thermophoresis number, and Brownian parameter) on temperature, velocity, and concentration are deciphered meticulously. The outcomes indicate that adding the Soret number into the THNF generates an increment in the concentration outline. The same incident happens to Dufour’s number and temperature profile. Assessment of the current findings with earlier distributed literature is identified and observed in a good contract. Consequences of distinctive physical factors on dimensionless velocity, temperature, and concentration are particularized through graphs and tables.

Topics & Concepts

ThermophoresisPrandtl numberEckert numberMechanicsFortranPartial differential equationFlow (mathematics)Lewis numberOdeMomentum (technical analysis)MathematicsMagnetohydrodynamicsPhysicsThermodynamicsClassical mechanicsNanofluidMathematical analysisNusselt numberConvectionComputer scienceHeat transferReynolds numberTurbulenceMass transferFinanceOperating systemPlasmaQuantum mechanicsEconomicsNanofluid Flow and Heat TransferFluid Dynamics and Turbulent FlowsFractional Differential Equations Solutions